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Simplifying -5k + -1.6 + 1.4k + 0.1k + 3 = 0 Reorder the terms: -1.6 + 3 + -5k + 1.4k + 0.1k = 0 Combine like terms: -1.6 + 3 = 1.4 1.4 + -5k + 1.4k + 0.1k = 0 Combine like terms: -5k + 1.4k = -3.6k 1.4 + -3.6k + 0.1k = 0 Combine like terms: -3.6k + 0.1k = -3.5k 1.4 + -3.5k = 0 Solving 1.4 + -3.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + -3.5k = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -3.5k = 0 + -1.4 -3.5k = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -3.5k = -1.4 Divide each side by '-3.5'. k = 0.4 Simplifying k = 0.4
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